<p>The <i>μ</i>-<i>e</i> conversion process is one of the most powerful ways to test lepton-flavor-violating (LFV) interactions involving charged leptons. The standard model with massive neutrinos predicts an extremely low rate for <i>μ</i>-<i>e</i> conversion, making this process an excellent probe for testing LFV arising from new physics. Among many theoretical models that can induce LFV, the Supersymmetric model with R-parity violating interactions is one of the most studied for <i>μ</i>-<i>e</i> conversion. In this work, we revisit trilinear <i>R</i>-parity violating interactions for <i>μ</i>-<i>e</i> conversion, considering renormalization group (RG) running effects from high to low energy scales. The <i>μ</i>-<i>e</i> conversion, <i>μ</i> → <i>eγ</i>, and <i>μ</i> → <i>eee</i> experimental data are compared to give upper limits on the relevant 15 combinations of the trilinear <i>λ′</i> couplings and 6 combinations of the <i>λ</i> couplings, certain of which are underexplored in previous studies. We find that RG running effects influence the limits by no more than 30% in most cases, but can improve constraints by ~80% in certain combinations, which cannot be neglected. In the near future, COMET and Mu2e are expected to begin data-taking and aim to provide the most stringent constraints on <i>μ</i>-<i>e</i> conversion. These next-generation <i>μ</i>-<i>e</i> experiments have the ability to give much more comprehensive examinations on most trilinear coupling combinations than the <i>μ</i> → <i>eγ</i> and <i>μ</i> → 3<i>e</i> decay experiments. The <i>μ</i>-<i>e</i> experiments will not only deepen our understanding of LFV but also provide a crucial way to examine the underlying new physics contributions.</p>

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Revisiting μ-e conversion in R-parity violating SUSY

  • Yu-Qi Xiao,
  • Xiao-Gang He,
  • Hong-Yi Niu,
  • Rong-Rong Zhang

摘要

The μ-e conversion process is one of the most powerful ways to test lepton-flavor-violating (LFV) interactions involving charged leptons. The standard model with massive neutrinos predicts an extremely low rate for μ-e conversion, making this process an excellent probe for testing LFV arising from new physics. Among many theoretical models that can induce LFV, the Supersymmetric model with R-parity violating interactions is one of the most studied for μ-e conversion. In this work, we revisit trilinear R-parity violating interactions for μ-e conversion, considering renormalization group (RG) running effects from high to low energy scales. The μ-e conversion, μ, and μeee experimental data are compared to give upper limits on the relevant 15 combinations of the trilinear λ′ couplings and 6 combinations of the λ couplings, certain of which are underexplored in previous studies. We find that RG running effects influence the limits by no more than 30% in most cases, but can improve constraints by ~80% in certain combinations, which cannot be neglected. In the near future, COMET and Mu2e are expected to begin data-taking and aim to provide the most stringent constraints on μ-e conversion. These next-generation μ-e experiments have the ability to give much more comprehensive examinations on most trilinear coupling combinations than the μ and μ → 3e decay experiments. The μ-e experiments will not only deepen our understanding of LFV but also provide a crucial way to examine the underlying new physics contributions.